{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import seaborn as sns\n",
    "\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting MNIST_data/train-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data/train-labels-idx1-ubyte.gz\n",
      "Extracting MNIST_data/t10k-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data/t10k-labels-idx1-ubyte.gz\n"
     ]
    }
   ],
   "source": [
    "from tensorflow.examples.tutorials.mnist import input_data\n",
    "mnist = input_data.read_data_sets(\"MNIST_data/\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class TF_PCA:\n",
    "\n",
    "    def __init__(self, data, dtype=tf.float32):\n",
    "        self.data = data\n",
    "        self.dtype = dtype\n",
    "\n",
    "        self.graph = None\n",
    "        self.X = None\n",
    "        self.u = None\n",
    "        self.singular_values = None\n",
    "        self.sigma = None\n",
    "\n",
    "    def fit(self):\n",
    "        self.graph = tf.Graph()\n",
    "        with self.graph.as_default():\n",
    "            self.X = tf.placeholder(self.dtype, shape=self.data.shape)\n",
    "\n",
    "            # Perform SVD\n",
    "            singular_values, u, _ = tf.svd(self.X)\n",
    "\n",
    "            # Create sigma matrix\n",
    "            sigma = tf.diag(singular_values)\n",
    "\n",
    "        with tf.Session(graph=self.graph) as session:\n",
    "            self.u, self.singular_values, self.sigma = session.run([u, singular_values, sigma],\n",
    "                                                                   feed_dict={self.X: self.data})\n",
    "\n",
    "    def reduce(self, n_dimensions=None, keep_info=None):\n",
    "        if keep_info:\n",
    "            # Normalize singular values\n",
    "            normalized_singular_values = self.singular_values / sum(self.singular_values)\n",
    "\n",
    "            # information per dimension\n",
    "            info = np.cumsum(normalized_singular_values)\n",
    "            \n",
    "           \n",
    "            # Get the first index which is above the given information threshold\n",
    "            it = iter(idx for idx, value in enumerate(info) if value >= keep_info)\n",
    "            n_dimensions = next(it) + 1\n",
    "            \n",
    "           \n",
    "        with self.graph.as_default():\n",
    "            # Cut out the relevant part from sigma\n",
    "            sigma = tf.slice(self.sigma, [0, 0], [self.data.shape[1], n_dimensions])\n",
    "\n",
    "            # PCA\n",
    "            pca = tf.matmul(self.u, sigma)\n",
    "\n",
    "        with tf.Session(graph=self.graph) as session:\n",
    "            return session.run(pca, feed_dict={self.X: self.data})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "original data shape (55000, 784)\n",
      "reduced data shape (55000, 3)\n"
     ]
    }
   ],
   "source": [
    "tf_pca = TF_PCA(mnist.train.images)\n",
    "tf_pca.fit()\n",
    "pca = tf_pca.reduce(keep_info=0.1)  # The reduced dimensions dependent upon the % of information\n",
    "print('original data shape', mnist.train.images.shape)\n",
    "print('reduced data shape', pca.shape)  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x1d4cfe4f9e8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0Va9SKF8m3zFKLHB4af2H+EKnHMvQ6eRxNZP1eC/luEU1abMyUOHa3CLDK7F6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\nUJ5CkyKFQqFQKE+hSZFCoVAolKf8P3p+JtTldfDEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d4cfdf7da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Set = sns.color_palette(\"Set2\", 10)\n",
    "color_mapping = {key:value for (key,value) in enumerate(Set)}\n",
    "colors = list(map(lambda x: color_mapping[x], mnist.train.labels))\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.scatter(pca[:, 0], pca[:, 1],pca[:, 2], c=colors)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:tensorflow]",
   "language": "python",
   "name": "conda-env-tensorflow-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
